The equilibrium constant, K., for the following reaction is 1.80×102 at 698K. 2HI(g)H2(g) + I2(g) If an equilibrium mixture of the three gases in a 10.8 L container at 698K contains 0.413 mol of HI(g) and 0.348 mol of H2. M. the equilibrium concentration of I, is

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**Equilibrium Constant and Concentrations in a Chemical Reaction**

The equilibrium constant, \( K_c \), for the following reaction is \( 1.80 \times 10^{-2} \) at 698K:

\[ 2 \text{HI}(g) \rightleftharpoons \text{H}_2(g) + \text{I}_2(g) \]

If an equilibrium mixture of the three gases in a 10.8 L container at 698K contains 0.413 mol of HI(g) and 0.348 mol of H₂, the equilibrium concentration of I₂ is \(\_\_\_\_\_\_\_\) M.

**Note:**
- \( \_\_\_\_\_\_\_\) represents a blank space to be filled with the concentration value.
- Use the following steps to calculate the equilibrium concentration:
  1. Convert the moles of gases to molarity by dividing by the volume of the container (10.8 L).
  2. Apply the equilibrium constant expression:
     \[ K_c = \frac{[\text{H}_2][\text{I}_2]}{[\text{HI}]^2} \]
  3. Solve for the unknown concentration.
Transcribed Image Text:**Equilibrium Constant and Concentrations in a Chemical Reaction** The equilibrium constant, \( K_c \), for the following reaction is \( 1.80 \times 10^{-2} \) at 698K: \[ 2 \text{HI}(g) \rightleftharpoons \text{H}_2(g) + \text{I}_2(g) \] If an equilibrium mixture of the three gases in a 10.8 L container at 698K contains 0.413 mol of HI(g) and 0.348 mol of H₂, the equilibrium concentration of I₂ is \(\_\_\_\_\_\_\_\) M. **Note:** - \( \_\_\_\_\_\_\_\) represents a blank space to be filled with the concentration value. - Use the following steps to calculate the equilibrium concentration: 1. Convert the moles of gases to molarity by dividing by the volume of the container (10.8 L). 2. Apply the equilibrium constant expression: \[ K_c = \frac{[\text{H}_2][\text{I}_2]}{[\text{HI}]^2} \] 3. Solve for the unknown concentration.
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